One word is slightly difficult to read.
But the circled word on this statement is not really hard to read when done in context and when one realizes that John H Aden was not the man completing the claim. "Relinquish" makes perfect sense in this context.
The image reads:
"I hereby Relinquish to the Government of the United States My Right to the Within described land this 26th April 1872"
Attest [not certain]
[signed] John H Aden
No relationship between the Adens is given, but the Bureau of Land Management really was not concerned about that. In a future post we will see how I determined what this document was releasing as there is no indication as to what fronts and backs should be paired when using these images on Ancestry.com.
But reading the whole file located this reference to John Aden.
Aden could have an incomplete homestead application file that could provide additional information on him. Those records are at the National Archives. There should also be an entry for John's claim in the tract books from the Bureau of Land Management.